{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据的图表展示\n",
    "matplotlib提供了很多图形的绘制，但常用的就那么几种。假设我们的绘制任务是简单的，通常只需要绘制一张数据图，那便只需要掌握matplotlib的基本绘制其他用的少的现学现用。\n",
    "\n",
    "需要掌握的内容有：\n",
    "\n",
    "1.figure的各种属性的设置；\n",
    "\n",
    "2.饼图、折线图、直方图、二维函数图形、三维函数图形的绘制。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 基本图形的绘制\n",
    "\n",
    "#### Figure,Axes和Axis,以及Artist\n",
    "在matplotlib中，一个figure中可以包含多个axes，**可以认为figure是整张图，axes是figure中的一个子图**。\n",
    "\n",
    "axes是axis的复数形式，显然一个axes中包含了多个axis，即一个axes对象中可以有多条坐标轴，两条坐标轴形成的是二维坐标系，三条坐标轴形成三维坐标系。\n",
    "\n",
    "而Artist是画布中所有可见的对象，包括Text、Figure、Axes、Axis、Patch等"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "## 导入库\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### subplots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'a label')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 144x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOAAAADgCAYAAAAaLWrhAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8/fFQqAAAACXBIWXMAAAsTAAALEwEAmpwYAAALDklEQVR4nO3dT4hd93nG8e9T2V7U/eNST9tUkosKSlwV4uJMVRf6x6W0kdyFCGQhp9TUFIRLXLqMN00WWXVRKCFOhAjCZBNtGlI1yPWu9SK4aFRsx0pQmCrUmipgOS4uSUqNkreLuSmX8YzumZl7552Tfj9wYc45vznn5bw8c849+omTqkJSjx/rLkD6/8wASo0MoNTIAEqNDKDUyABKjWYGMMn5JG8keW2L7UnyqSSrSV5N8vD8y9RQ9mtchlwBnwNO3GH7SeDo5HMG+Ozuy9IuPIf9Go2ZAayqF4G37jDkFPD5WvcScF+S98yrQG2P/RqXeXwHPAjcmFpem6zT/mS/9pG75rCPbLJu0/ltSc6wftvDvffe+4EHH3xwDof/0XPlypU3q2ppQbu3X3O2m37NI4BrwOGp5UPAzc0GVtU54BzA8vJyrayszOHwP3qS/PsCd2+/5mw3/ZrHLehF4InJ07VHgLer6ltz2K8Ww37tIzOvgEm+ADwK3J9kDfgEcDdAVZ0FLgGPAavA94AnF1WsZrNf4zIzgFX1+IztBXx0bhVpV+zXuDgTRmpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQajQogElOJLmWZDXJM5ts/+kk/5DklSRXk/jKq0b2azxmBjDJAeBZ4CRwDHg8ybENwz4KfK2qHmL93XR/k+SeOdeqAezXuAy5Ah4HVqvqelW9A1wATm0YU8BPJgnwE8BbwO25Vqqh7NeIDAngQeDG1PLaZN20TwO/wvq7xr8K/GVV/WAuFWq77NeIDAlgNllXG5Y/CLwM/CLwa8Cnk/zUu3aUnEmykmTl1q1b2yxVA9mvERkSwDXg8NTyIdb/ck57EvhirVsFvgk8uHFHVXWuqparanlpaWmnNevO7NeIDAngZeBokiOTL+qngYsbxrwO/D5Akp8H3gdcn2ehGsx+jchdswZU1e0kTwMvAAeA81V1NclTk+1ngU8CzyX5Kuu3QB+rqjcXWLe2YL/GZWYAAarqEnBpw7qzUz/fBP5wvqVpp+zXeDgTRmpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQamQApUYGUGpkAKVGBlBqZAClRgZQajQogElOJLmWZDXJM1uMeTTJy0muJvnn+Zap7bBf4zHz9WRJDgDPAn/A+ttXLye5WFVfmxpzH/AZ4ERVvZ7k5xZUr2awX+My5Ap4HFitqutV9Q5wATi1YcxHWH/l8esAVfXGfMvUNtivERkSwIPAjanltcm6ae8FfibJPyW5kuSJzXaU5EySlSQrt27d2lnFmsV+jciQAGaTdbVh+S7gA8AfAR8E/irJe9/1S1Xnqmq5qpaXlpa2XawGsV8jMuQV1WvA4anlQ8DNTca8WVXfBb6b5EXgIeAbc6lS22G/RmTIFfAycDTJkST3AKeBixvG/D3w20nuSvLjwG8AX59vqRrIfo3IzCtgVd1O8jTwAnAAOF9VV5M8Ndl+tqq+nuQfgVeBHwCfq6rXFlm4Nme/xiVVG78e7I3l5eVaWVlpOfZ+l+RKVS131zHNfm1tN/1yJozUyABKjQyg1MgASo0MoNTIAEqNDKDUyABKjQyg1MgASo0MoNTIAEqNDKDUyABKjQyg1MgASo0MoNTIAEqNDKDUyABKjQyg1MgASo0MoNTIAEqNDKDUyABKjQyg1MgASo0MoNRoUACTnEhyLclqkmfuMO7Xk3w/yYfnV6K2y36Nx8wAJjkAPAucBI4Bjyc5tsW4v2b9vXRqYr/GZcgV8DiwWlXXq+od4AJwapNxfwH8HfDGHOvT9tmvERkSwIPAjanltcm6/5PkIPAh4OyddpTkTJKVJCu3bt3abq0axn6NyJAAZpN1G1+r+7fAx6rq+3faUVWdq6rlqlpeWloaWKK2yX6NyMx3xLP+F/Tw1PIh4OaGMcvAhSQA9wOPJbldVV+aR5HaFvs1IkMCeBk4muQI8B/AaeAj0wOq6sgPf07yHPBlm9nGfo3IzABW1e0kT7P+tOwAcL6qriZ5arL9jt8jtLfs17gMuQJSVZeASxvWbdrIqvrT3Zel3bBf4+FMGKmRAZQaGUCpkQGUGhlAqZEBlBoZQKmRAZQaGUCpkQGUGhlAqZEBlBoZQKmRAZQaGUCpkQGUGhlAqZEBlBoZQKmRAZQaGUCpkQGUGhlAqZEBlBoZQKmRAZQaGUCpkQGUGg0KYJITSa4lWU3yzCbb/zjJq5PPV5I8NP9SNZT9Go+ZAUxyAHgWOAkcAx5PcmzDsG8Cv1tV7wc+CZybd6Eaxn6Ny5Ar4HFgtaquV9U7wAXg1PSAqvpKVf3nZPEl1t/Kqh72a0SGBPAgcGNqeW2ybit/Bjy/m6K0K/ZrRIa8oDObrKtNBya/x3pDf2uL7WeAMwAPPPDAwBK1TfZrRIZcAdeAw1PLh4CbGwcleT/wOeBUVX17sx1V1bmqWq6q5aWlpZ3Uq9ns14gMCeBl4GiSI0nuAU4DF6cHJHkA+CLwJ1X1jfmXqW2wXyMy8xa0qm4neRp4ATgAnK+qq0memmw/C3wc+FngM0kAblfV8uLK1lbs17ikatOvBwu3vLxcKysrLcfe75Jc2W+BsF9b202/nAkjNTKAUiMDKDUygFIjAyg1MoBSIwMoNTKAUiMDKDUygFIjAyg1MoBSIwMoNTKAUiMDKDUygFIjAyg1MoBSIwMoNTKAUiMDKDUygFIjAyg1MoBSIwMoNTKAUiMDKDUygFIjAyg1GhTAJCeSXEuymuSZTbYnyacm219N8vD8S9VQ9ms8ZgYwyQHgWeAkcAx4PMmxDcNOAkcnnzPAZ+dcpwayX+My5Ap4HFitqutV9Q5wATi1Ycwp4PO17iXgviTvmXOtGsZ+jciQAB4Ebkwtr03WbXeM9ob9GpGZr6gGssm6ja/VHTKGJGdYv+UB+J8krw04/l65H3izu4iJ9+3id+3X3ttxv4YEcA04PLV8CLi5gzFU1TngHECSlf30Gub9VE+S3bwL2n7tsd30a8gt6GXgaJIjSe4BTgMXN4y5CDwxebr2CPB2VX1rp0VpV+zXiMy8AlbV7SRPAy8AB4DzVXU1yVOT7WeBS8BjwCrwPeDJxZWsO7Ff45Kqd936782BkzOTW5x9YT/Vs59q+aH9VtN+qmc3tbQFUJJT0aRWCw/gfpoWNaCWR5O8neTlyefjC6zlfJI3tnq03zVdzH5tWcti+lVVC/uw/hDg34BfBu4BXgGObRjzGPA86/829QjwL421PAp8eZHnZOpYvwM8DLy2xfY9OS/2q7dfi74C7qdpUUNq2TNV9SLw1h2GdEwXs19bWFS/Fh3A/TQtauhxfjPJK0meT/KrC6hjqI7pYvZr53Z0XobMhNmNuU2L2qNa/hX4par6TpLHgC+x/j8GOuzVednuMe3X5nZ0XhZ9BZzbtKi9qKWq/quqvjP5+RJwd5L7F1DLEHt1XrZ7TPu1uR2dl0UHcD9Ni5pZS5JfSJLJz8dZPz/fXkAtQ3RMF7NfO7ej87LQW9DaR9OiBtbyYeDPk9wG/hs4XZNHXPOW5AusP8W7P8ka8Ang7qla9ny6mP3a2qL65UwYqZEzYaRGBlBqZAClRgZQamQApUYGUGpkAKVGBlBq9L8jLZns0Lu/5gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 216x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 144x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 关于subplots\n",
    "\n",
    "# subplots默认返回一个figure和一个axes，即只有一个子图\n",
    "fig, ax = plt.subplots(figsize=(2,2))\n",
    "# 当需要生成多个子图时，使用元组解包返回的axes\n",
    "fig, ((ax1, ax2),(ax3, ax4)) = plt.subplots(2,2)\n",
    "\n",
    "# 设置参数layout='constrained'使子图的展示效果为自适应，这似乎是默认设置\n",
    "# 实际上这个参数在suplots中最后会传递给figure，最后这个figure作为返回值返回\n",
    "fig, (ax1,ax2) = plt.subplots(1,2, layout='constrained',figsize=(3,3))\n",
    "# 也可以在figure中设置：\n",
    "fig.set_constrained_layout(True)\n",
    "\n",
    "# 指定整个figure的大小\n",
    "fig, ax = plt.subplots(figsize=(4,4))\n",
    "# 由于figsize最终传递给了figure对象，所以也可以直接通过fig进行设置\n",
    "fig.set_size_inches(4,4)\n",
    "\n",
    "# 设置sharex和sharey的值为True，使得全局的x轴和y轴的属性相同\n",
    "fig, (ax1, ax2) = plt.subplots(1,2,sharex='all', sharey=True, figsize=(2,2))\n",
    "ax1.set_xlabel('a label')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 数据的生成\n",
    "\n",
    "使用numpy生成等差数列有两种方式：\n",
    "\n",
    "方式一：使用`np.arange(start, stop, step)`，这种方式便于生成元素之差为step的数组\n",
    "\n",
    "方式二：使用`np.linspace(start, stop, num)`，这种方式便于生成元素个数为num的数组，还可以通过endpoint参数指定元素是否包含端点。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 散点图绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Development\\Anaconda\\envs\\SciencePy\\lib\\site-packages\\matplotlib\\collections.py:980: RuntimeWarning: invalid value encountered in sqrt\n",
      "  scale = np.sqrt(self._sizes) * dpi / 72.0 * self._factor\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1fcf6001250>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 绘制散点图\n",
    "fig, ((ax1, ax2),(ax3, ax4)) = plt.subplots(2, 2, layout='constrained', figsize=(5,5))\n",
    "# 或者 fig, ax = plt.subplots() 也是一样的\n",
    "a = np.arange(50)\n",
    "b = np.random.randint(0,50,50)\n",
    "# 使随机生成的数据在数组a的上下浮动\n",
    "c = a + 2*np.random.randn(50)   # randn返回的数据服从正态分布，大小为(0,1)\n",
    "d = np.array([25]*50)\n",
    "# 一个一个绘制散点图，可以对每一份散点图进行diy\n",
    "ax1.scatter(a, a)\n",
    "ax1.scatter(a, b, c='r', linestyle='-') # 随机生成的数据\n",
    "ax1.scatter(a, c, c='b', s=5) # 接近于数组a的数据\n",
    "\n",
    "# 一起绘制多个散点图，需要注意，两个数组的shape要一致,不推荐\n",
    "ax2.scatter([a,a,a],[a,b,c], c='c', s=[a,b,c])\n",
    "\n",
    "# 或者使用字典，一次只画一个散点图\n",
    "data = {'a':a, 'b':b, 'c':c, 'd':d}\n",
    "ax3.scatter(x='a', y='c', c='d', data=data)\n",
    "# 注意，当传入data时，前面的参数x，y，s，c，linewidths等需要为字符或字符串\n",
    "# x='a'表示data['a'], c='c'表示的是data['c']\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**从上面的实践中可知，对于图形的绘制，只需要操作axes对象即可（上面只操作了ax1，ax2，ax3），而figure可以不做设置。**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 标签、图例、文本、网格等\n",
    "由于subplots中只能设置全局的属性，例如画布的大小，figure的相关属性等，当要给子图（即axes对象）添加标签时，只能单独的进行设置。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 设置附加信息：标签，标题等\n",
    "fig, ax = plt.subplots(figsize=(6,3))\n",
    "\n",
    "# 先绘制一个散点图\n",
    "a = np.arange(50)\n",
    "b = np.random.randn(50)*5 + a\n",
    "\n",
    "# 设置图例，在绘制散点图时传入label参数，再执行ax.legend()生成图例\n",
    "ax.scatter(a, b, c='#ffaa70', label='scatter')\n",
    "ax.legend()\n",
    "\n",
    "# 设置文字，文字并不支持Latex，支持上标^，下标_，以及希腊文字，例如：\\mu，\\pi，这些内容需放置在$$之间\n",
    "# 如果要使用LaTex，需要额外的设置，似乎挺麻烦的，最简便的方法是使用 snipaste贴图+截屏\n",
    "ax.set_xlabel('x label')\n",
    "ax.set_ylabel('y label')\n",
    "# 设置标题\n",
    "ax.set_title('a sample of scatter')\n",
    "# 设置文本，其中前两个参数为坐标轴上的坐标\n",
    "ax.text(5, 45, 'Dots gengerated by $f(x) {1}/(2\\pi)^{0.5} \\ \\ *\\ e^{{-x^2}/{2} } $')\n",
    "# 显示网格\n",
    "ax.grid(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 直线、折线绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1fcfae60160>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 288x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 绘制折线图\n",
    "import numpy as np\n",
    "a = np.arange(50)\n",
    "fig, ((ax1, ax2),(ax3, ax4)) = plt.subplots(2,2, layout='constrained', figsize=(4,4))\n",
    "\n",
    "# 绘制折线图需要使用plot，这个函数会将所第一个数组作为横坐标，第二个数组作为纵坐标\n",
    "# 两个数组相同下标的元素组合成一个坐标，代表一个点，plot将所有的点依次进行连接\n",
    "\n",
    "# 绘制 y=x^2 ，以直代曲\n",
    "t = [i*i for i in np.arange(-5,5,0.2)]\n",
    "b = np.array(t)\n",
    "ax1.plot(a, b, c='#007fd4')\n",
    "\n",
    "# 绘制折线，纵坐标随机生成\n",
    "c = np.random.randn(50)*50\n",
    "ax2.plot((a-25)/5, c, c='#c586ac')\n",
    "\n",
    "# 绘制杂线，横纵坐标随机生成，依次连接生成的点\n",
    "d = np.random.randn(50)\n",
    "ax3.plot(c, d, c='#ce9178', linestyle='-')\n",
    "\n",
    "# 绘制一条直线需要提供两个点，这里两个点是(1,1)，(49,49)\n",
    "ax4.plot([1,49],[1,49], c='#3ebcb0')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c537ea7760>]"
      ]
     },
     "execution_count": 284,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "t = np.linspace(-np.pi/2,np.pi/2, 100, endpoint=True)\n",
    "a = np.linspace(1, 100, 100, endpoint=True)\n",
    "\n",
    "# [d.append(i-np.sin(t[50])) for i in t[:50]]\n",
    "# [d.append(i+np.sin(t[50])) for i in t[150:]]\n",
    "b = [(np.sin(i)+1)/2 for i in t]\n",
    "bias = 20\n",
    "c = []\n",
    "[c.append(b[i+bias]) for i in range(len(b[bias:90])) if i%2==0]\n",
    "[c.append(np.log(i+1.5)+0.135) for i in np.linspace(np.pi*0.26, 1, 100-len(c),endpoint=True)]\n",
    "c = [i*500+410 for i in c]\n",
    "d  = np.arange(len(c))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(15,5))\n",
    "ax.set_xlabel('Year', fontsize=13)\n",
    "ax.set_ylabel('Carbon Sequestration * $10^7$t', fontsize=10)\n",
    "ax.set_title('Projected Carbon Sequestration in 100 Years', fontsize=13)\n",
    "ax.plot(d, c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 244,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c532b9af10>]"
      ]
     },
     "execution_count": 244,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "t = np.linspace(-np.pi/2,np.pi/2, 100, endpoint=True)\n",
    "a = np.linspace(1, 100, 100, endpoint=True)\n",
    "d  = [np.sin(x) for x in t]\n",
    "\n",
    "e = d[20:80]\n",
    "[e.append(np.sin(x)+0.5) for x in np.linspace(0.1*np.pi, 1, 40)]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(15,5))\n",
    "ax.set_xlabel('Year', fontsize=13)\n",
    "ax.set_ylabel('Carbon Sequestration * $10^7$t', fontsize=10)\n",
    "ax.set_title('Projected Carbon Sequestration in 100 Years', fontsize=13)\n",
    "ax.plot(a,e)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 饼图绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Pie chart, where the slices will be ordered and plotted counter-clockwise:\n",
    "labels = \"Young forest\",\"Middle age forest\",\"Near mature forest age\",\"Mature forest\",\"Overmature forest\"\n",
    "sizes = [40, 30, 15, 10, 5]\n",
    "# colors = [\"#7ddcfe\",\"#c586c0\",\"#95cea8\",\"#ce9178\",\"#6a9955\"]\n",
    "colors = \"#f57f17\",\"#2196f3\",\"#4caf50\",\"#e65100\",\"#ba68c8\"\n",
    "\n",
    "from matplotlib.pylab import mpl\n",
    "explode = (0.01, 0.01, 0.01, 0.01,0.01)  # only \"explode\" the 2nd slice (i.e. 'Hogs')\n",
    "mpl.rcParams['axes.labelsize'] ='xx-large'\n",
    "\n",
    "fig1, ax1 = plt.subplots(figsize=(7,7))\n",
    "ax1.pie(sizes, explode=explode, labels=labels, autopct='%1.1f%%',colors=colors,\n",
    "        shadow=True, startangle=90)\n",
    "ax1.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "# print(mpl.rcParams.keys())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 直方图\n",
    "区分hist和bar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "bar() missing 1 required positional argument: 'height'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m~\\AppData\\Local\\Temp/ipykernel_11968/2353580335.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     10\u001b[0m     \u001b[0md\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mindex\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     11\u001b[0m     \u001b[1;31m# ax.hist(d,bins=c, label=label)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 12\u001b[1;33m     \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbar\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mbins\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0md\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mlabel\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     13\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlegend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Development\\Anaconda\\envs\\SciencePy\\lib\\site-packages\\matplotlib\\__init__.py\u001b[0m in \u001b[0;36minner\u001b[1;34m(ax, data, *args, **kwargs)\u001b[0m\n\u001b[0;32m   1410\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0minner\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1411\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mdata\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1412\u001b[1;33m             \u001b[1;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0mmap\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msanitize_sequence\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0margs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1413\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1414\u001b[0m         \u001b[0mbound\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnew_sig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbind\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mTypeError\u001b[0m: bar() missing 1 required positional argument: 'height'"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "c = [1, 2, 3, 4]\n",
    "a = [0.44, 0.37, 0.14, 0.05]\n",
    "b = [\"Agribusiness\", \"Logging\", \"Government\", \"Turism\"]\n",
    "fig, ax = plt.subplots(figsize=(7,7))\n",
    "ax.set_xticks([])\n",
    "# ax.bar(b,a)\n",
    "for  data,index,label in zip(a,c,b):\n",
    "    d = [0, 0, 0, 0]\n",
    "    d[index-1] = data\n",
    "    # ax.hist(d,bins=c, label=label)\n",
    "    ax.bar(c, d, label=label)\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'Rectangle' object has no property 'normed'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[1;32m~\\AppData\\Local\\Temp/ipykernel_11968/3114703666.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     15\u001b[0m \u001b[1;31m# Create a histogram by providing the bin edges (unequally spaced).\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     16\u001b[0m \u001b[0mbins\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m150\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m180\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m195\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m205\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m220\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m250\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m300\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 17\u001b[1;33m \u001b[0max1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhist\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mbins\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnormed\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mhisttype\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'bar'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mrwidth\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.8\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     18\u001b[0m \u001b[0max1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_title\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'unequal bins'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     19\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Development\\Anaconda\\envs\\SciencePy\\lib\\site-packages\\matplotlib\\__init__.py\u001b[0m in \u001b[0;36minner\u001b[1;34m(ax, data, *args, **kwargs)\u001b[0m\n\u001b[0;32m   1410\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0minner\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1411\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mdata\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1412\u001b[1;33m             \u001b[1;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0mmap\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msanitize_sequence\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0margs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1413\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1414\u001b[0m         \u001b[0mbound\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnew_sig\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbind\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Development\\Anaconda\\envs\\SciencePy\\lib\\site-packages\\matplotlib\\axes\\_axes.py\u001b[0m in \u001b[0;36mhist\u001b[1;34m(self, x, bins, range, density, weights, cumulative, bottom, histtype, align, orientation, rwidth, log, color, label, stacked, **kwargs)\u001b[0m\n\u001b[0;32m   6743\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0mpatch\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   6744\u001b[0m                 \u001b[0mp\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpatch\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 6745\u001b[1;33m                 \u001b[0mp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   6746\u001b[0m                 \u001b[1;32mif\u001b[0m \u001b[0mlbl\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   6747\u001b[0m                     \u001b[0mp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_label\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlbl\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\Development\\Anaconda\\envs\\SciencePy\\lib\\site-packages\\matplotlib\\artist.py\u001b[0m in \u001b[0;36mupdate\u001b[1;34m(self, props)\u001b[0m\n\u001b[0;32m   1062\u001b[0m                     \u001b[0mfunc\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34mf\"set_{k}\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1063\u001b[0m                     \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mcallable\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfunc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1064\u001b[1;33m                         raise AttributeError(f\"{type(self).__name__!r} object \"\n\u001b[0m\u001b[0;32m   1065\u001b[0m                                              f\"has no property {k!r}\")\n\u001b[0;32m   1066\u001b[0m                     \u001b[0mret\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfunc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mv\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mAttributeError\u001b[0m: 'Rectangle' object has no property 'normed'"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(0)\n",
    "\n",
    "mu = 200\n",
    "sigma = 25\n",
    "x = np.random.normal(mu, sigma, size=100)\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(ncols=2, figsize=(8, 4))\n",
    "\n",
    "ax0.hist(x, 20, histtype='stepfilled', facecolor='g', alpha=0.75)\n",
    "ax0.set_title('stepfilled')\n",
    "\n",
    "# Create a histogram by providing the bin edges (unequally spaced).\n",
    "bins = [100, 150, 180, 195, 205, 220, 250, 300]\n",
    "ax1.hist(x, bins, normed=1, histtype='bar', rwidth=0.8)\n",
    "ax1.set_title('unequal bins')\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 三维图形绘制\n",
    "有两种方式可以创建三维坐标\n",
    "第一种方式向figure对象中添加三维坐标，使用add_subplot函数，但由于每次使用add_subplot函数便会覆盖之前绘制的图像，所以这种方式一次只能绘制一个三维坐标\n",
    "```python\n",
    "fig = plt.figure()\n",
    "add_subplot(projection='3d')\n",
    "```\n",
    "\n",
    "第二种方式是使用subplots函数，需要传入参数`subplot_kw={\"projection\": \"3d\"}`，这个参数最终会传递给figure对象。使用这种方式可以绘制多个三维坐标\n",
    "```python\n",
    "fig, (ax1,ax2) = plt.subplots(1, 2, subplot_kw={\"projection\": \"3d\"})\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 绘制曲线&参数方程\n",
    "曲线的绘制都是以直代曲，即用一段段直线段相连来表示曲线，三维曲线也是如此，所以绘制三维曲线需要提供一组三维坐标，在使用matplotlib绘制时，这一组三维坐标分为三组，分别代表各个点在三个维度上的取值。\n",
    "\n",
    "在使用matplotlib绘制时，使用只含有一个参数的方程组的形式便于生成三个维度的点。例如：\n",
    " \\begin{cases}\n",
    " x = sin(t) \\\\\n",
    " y = cos(t) \\\\\n",
    " z = t^2\n",
    "\\end{cases}\n",
    "此时可以通过如下方式生成曲线上的点:\n",
    "```python\n",
    "t = np.arange(-5, 5, 0.5)\n",
    "x = np.sin(t)\n",
    "y = np.cos(t)\n",
    "z = t*t\n",
    "```\n",
    "但有时候三维曲线的形式是两个曲面的交线，例如：\n",
    "\\begin{cases}\n",
    " \\frac{x^2}{9} - \\frac{y^2}{4}  = z ,\\\\\n",
    " x^2- y = z \\space \\space \n",
    "\\end{cases}\n",
    "这个时候需要得到它的参数方程形式，可以用最简便的方式：\n",
    "\n",
    "step1：先消去变量z，得到曲线在XOY平面上的投影，即x和y的方程\n",
    "\\begin{align*}\n",
    "\\frac{3}{4}*x^2 = \\sqrt{y-\\frac{y^2}{9} } \n",
    "\\end{align*}\n",
    "step2：将x或y作为参数，这里取y为参数，再用y来表示x，得\n",
    "\\begin{align*}\n",
    "x = \\pm \\sqrt{\\frac{4}{3}(y-\\frac{y^2}{9})  } \n",
    "\\end{align*}\n",
    "如果令t=y，则x和y之间的参数方程为\n",
    "\\begin{cases}\n",
    "x = \\pm \\sqrt{\\frac{4}{3}(t-\\frac{t^2}{9})  }, \\\\\n",
    "y = t \\space  \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \\space \n",
    "\\end{cases}\n",
    "\n",
    "step3：接着再用x和y来表示z，注意，此时$x=x(t);y=y(t)$，所以z可以用t来表示，由两个曲面方程，得\n",
    "\\begin{cases}\n",
    " z = x^2 - y \\\\\n",
    " 或 \\\\\n",
    "z=\\frac{x^2}{4} -\\frac{y^2}{9} \n",
    "\\end{cases}\n",
    "此时，便得到了该曲线的参数方程\n",
    "\\begin{cases}\n",
    "x = \\pm \\sqrt{\\frac{4}{3}(t-\\frac{t^2}{9})  }, \\\\\n",
    "y = t \\\\\n",
    "z = x(t)^2 - y(t) \n",
    "\\end{cases}\n",
    "\n",
    "再例如：\n",
    "\\begin{cases}\n",
    "x^2 + y^2 = 25 \\\\\n",
    "x + y + z = 0\n",
    "\\end{cases}\n",
    "第一个方程表示圆，可以轻易的得到它的参数方程：\n",
    "\\begin{cases}\n",
    "x = sin(t)\n",
    "y = cos(t)\n",
    "\\end{cases}\n",
    "再用$x(t)和y(t)$来表示z，由$x + y + z = 0$得\n",
    "\\begin{cases}\n",
    "x = sin(t) \\\\\n",
    "y = cos(t) \\\\\n",
    "z = -x(t) - y(t)\n",
    "\\end{cases}\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DELL\\AppData\\Local\\Temp/ipykernel_1564/3855888573.py:16: RuntimeWarning: invalid value encountered in power\n",
      "  x = np.power( 4/3*(t-np.power(t,2)/9), 0.5)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 576x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 曲线的绘制\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(8,4), subplot_kw={\"projection\": \"3d\"})\n",
    "\n",
    "# 第一条曲线\n",
    "t = np.arange(-5, 5, 0.5)\n",
    "x = np.sin(t)\n",
    "y = np.cos(t)\n",
    "z = t*t\n",
    "ax1.plot(x, y, z, c='#007acc')\n",
    "\n",
    "# 第二条曲线， 这里仅绘制x>0的区域\n",
    "x = np.power( 4/3*(t-np.power(t,2)/9), 0.5)\n",
    "y = t\n",
    "z = np.power(x, 2) - y\n",
    "\n",
    "ax2.plot(x, y, z, c= '#ce916b')\n",
    "\n",
    "# 第三条曲线\n",
    "x = np.sin(t)\n",
    "y = np.cos(t)\n",
    "z = - x - y\n",
    "ax3.plot(x, y, z, c='#6a9955', label='circle')\n",
    "# 直线的绘制，只需要提供两个点在三个坐标上的取值\n",
    "ax3.plot([-2,2], [-2, 2], [-2, 2], label='line')\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 绘制曲面\n",
    "matplotlib可以绘制多种曲面，暂时掌握用plot_surface来绘制曲面就足够了\n",
    "下面绘制的曲面有：马鞍面，平面，方程如下：\n",
    "\\begin{align*}\n",
    "\\frac{x^2}{4} - \\frac{y^2}{9} = z  和 x+y+z=0\n",
    "\\end{align*}\n",
    "\n",
    "在绘制的过程中需要先生成XOY平面上的二维网格\n",
    "```python\n",
    "x = np.arange(-5, 5, 0.5) # 共 10/0.5 = 20个点\n",
    "y = np.arange(-3, 3, 0.3) # 共 6/0.3 = 20个点\n",
    "X, Y = np.meshgrid(x, y)  # 二维网格的大小为20*20，X和Y的shape为(20, 20) ！！！\n",
    "```\n",
    "X即二维网格的所有点在x轴上的取值，Y即二维网格上所有点在y轴上的取值，再根据曲面方程生成z轴坐标，最后使用plot_surface函数进行绘制\n",
    "```python\n",
    "Z = np.power(X, 2)/4 - np.power(Y, 2)/9\n",
    "surf = ax1.plot_surface(X, Y, Z, linewidth=0, cmap=cm.coolwarm, antialiased=False)\n",
    "plt.show()\n",
    "```\n",
    "传递给plot_surface函数的三个参数X,Y,Z也就是将要绘制的点在三个坐标上的取值（需要注意X和Y是二维数组！！！），所以可以认为传递给plot_surface函数的其实也是一系列的点，**matplotlib中绘制面的基本思想也是以直代曲，即用平面代替曲面！！！**plot_surface函数会将相邻的三个点组成一个平面，即将平面作为图元，一个个平面组合成曲面。\n",
    "\n",
    "生成网格还有另一种方式，极坐标网格：\n",
    "```python\n",
    "radii = np.linspace(0.125, 1.0, 8)\n",
    "angles = np.linspace(0, 2*np.pi, 36, endpoint=False)[..., np.newaxis] # 包含端点\n",
    "\n",
    "x = (radii*np.cos(angles)).flatten()\n",
    "y = (radii*np.sin(angles)).flatten()\n",
    "```\n",
    "自然的，这种网格更适合极坐标方程，可以用plot_trisurface函数进行绘制，而前一种方式适合使用plot_surface函数进行绘制。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DELL\\AppData\\Local\\Temp/ipykernel_1564/2827925031.py:30: MatplotlibDeprecationWarning: Starting from Matplotlib 3.6, colorbar() will steal space from the mappable's axes, rather than from the current axes, to place the colorbar.  To silence this warning, explicitly pass the 'ax' argument to colorbar().\n",
      "  fig.colorbar(surf, shrink=0.5, aspect=5)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制曲面\n",
    "\n",
    "# 曲面的颜色可以通过cm来设定，如暖色调cm.coolwarm\n",
    "from matplotlib import cm\n",
    "\n",
    "fig, (ax1,ax2, ax3) = plt.subplots(1, 3, figsize=(10,5),subplot_kw={\"projection\": \"3d\"})\n",
    "\n",
    "# 绘制马鞍面\n",
    "x = np.arange(-100, 100, 20) # x轴方向有 200/20 = 10 个点\n",
    "y = np.arange(-100, 100, 20) # y轴方向也有10个点\n",
    "# 网格总共有200*200个点，X、Y分别是这些点的横纵坐标，所以X和Y的shape都是(10,10)\n",
    "X, Y = np.meshgrid(x,y)\n",
    "Z = np.power(X, 2)/4 - np.power(Y, 2)/9\n",
    "surf = ax1.plot_surface(X, Y, Z, linewidth=0, cmap=cm.coolwarm, antialiased=False)\n",
    "\n",
    "# 绘制平面\n",
    "Z = - X - Y\n",
    "ax2.plot_surface(X, Y, Z, cmap=cm.coolwarm)\n",
    "# ax2.plot_trisurf(X, Y, Z)\n",
    "\n",
    "# 绘制杂面，Z轴坐标随机生成\n",
    "x = np.arange(-100, 100, 100)\n",
    "y = np.arange(-100, 100, 100) \n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z =np.reshape( np.random.randn(2*2)*20, (2, 2))\n",
    "ax3.plot_surface(X, Y, Z, cmap=cm.coolwarm)\n",
    "\n",
    "\n",
    "# 加上颜色条指示高低\n",
    "fig.colorbar(surf, shrink=0.5, aspect=5)\n",
    "\n",
    "# 显示\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观察上面曲面的纹理，这些曲面看上去是以四边形作为图元的，三个不共线的点可以确定一个面，但四个点反而有可能确定不了一个面，例如当四个点组成的两条线不共面时，这四个点不能确定一个面。**观察第三张图，plot_surface实际上是以三角形作为图元的，只不过相邻的两个三角形会涂成相同的颜色。**\n",
    "\n",
    "另一种绘制平面的方式是plot_trisurf函数，这个函数的输入是一维的，而不是像plot_surface是二维的，以下是其中一个例子"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 扩展：极坐标网格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用plot_trisurf绘制马鞍面\n",
    "x = np.linspace(-100, 100, 100)\n",
    "y = np.linspace(-100, 100, 100)\n",
    "x, y = np.meshgrid(x, y) # 还是需要先生成网格\n",
    "X = x.flatten()\n",
    "Y = y.flatten()\n",
    "Z = np.power(X, 2)/4 - np.power(Y, 2)/9\n",
    "\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(10,5), subplot_kw={\"projection\":'3d'})\n",
    "ax1.plot_trisurf(X, Y, Z)\n",
    "\n",
    "# 另一种生成网格的方式：极坐标网格\n",
    "radii = np.linspace(0.125, 1.0, 8)  # 这是半径r\n",
    "angles = np.linspace(0, 2*np.pi, 36, endpoint=True)[..., np.newaxis] # 这是角度，endpint=True表示生成的点中包含端点\n",
    "# 注意，需要添加[..., np.newaxis]，将angles扩展为二维，这样radii与angles相乘时才能使用numpy的广播机制\n",
    "\n",
    "# 使用plot_trisurf进行绘制\n",
    "x = (radii*np.cos(angles)).flatten()\n",
    "y = (radii*np.sin(angles)).flatten()\n",
    "z = np.sin(-x*y)\n",
    "ax2.plot_trisurf(x, y, z, linewidth=0.2, antialiased=True, cmap=cm.cool_r)\n",
    "\n",
    "# 改用plot_surface绘制\n",
    "x = radii*np.cos(angles)\n",
    "y = radii*np.sin(angles)\n",
    "z = np.sin(-x*y)\n",
    "ax3.plot_surface(x, y, z, cmap=cm.coolwarm)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.36787944117144233,\n",
       " 0.3735341811829443,\n",
       " 0.37927584120415353,\n",
       " 0.38510575729792546,\n",
       " 0.3910252860639743,\n",
       " 0.39703580495454893,\n",
       " 0.40313871259496015,\n",
       " 0.40933542910903614,\n",
       " 0.4156273964495798,\n",
       " 0.42201607873390606,\n",
       " 0.4285029625845361,\n",
       " 0.43508955747512873,\n",
       " 0.44177739608173017,\n",
       " 0.4485680346394209,\n",
       " 0.45546305330444675,\n",
       " 0.4624640565219145,\n",
       " 0.4695726733991411,\n",
       " 0.47679055808474013,\n",
       " 0.48411939015353644,\n",
       " 0.4915608749973969,\n",
       " 0.4991167442220686,\n",
       " 0.5067887560501171,\n",
       " 0.514578695730058,\n",
       " 0.5224883759517783,\n",
       " 0.5305196372683418,\n",
       " 0.5386743485242795,\n",
       " 0.5469544072904623,\n",
       " 0.5553617403056589,\n",
       " 0.5638983039248807,\n",
       " 0.5725660845746183,\n",
       " 0.5813670992150757,\n",
       " 0.590303395809509,\n",
       " 0.5993770538007799,\n",
       " 0.6085901845952346,\n",
       " 0.6179449320540203,\n",
       " 0.6274434729919531,\n",
       " 0.6370880176840548,\n",
       " 0.6468808103798761,\n",
       " 0.6568241298257248,\n",
       " 0.6669202897949214,\n",
       " 0.6771716396262056,\n",
       " 0.6875805647704194,\n",
       " 0.6981494873455911,\n",
       " 0.7088808667005546,\n",
       " 0.7197771999872299,\n",
       " 0.7308410227417008,\n",
       " 0.7420749094742256,\n",
       " 0.7534814742683156,\n",
       " 0.7650633713890217,\n",
       " 0.7768232959005738,\n",
       " 0.7887639842935105,\n",
       " 0.8008882151214507,\n",
       " 0.8131988096476535,\n",
       " 0.8256986325015145,\n",
       " 0.8383905923451548,\n",
       " 0.8512776425502561,\n",
       " 0.8643627818852991,\n",
       " 0.8776490552133651,\n",
       " 0.8911395542006654,\n",
       " 0.9048374180359597]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import random\n",
    "np.random.rand(60)*0.77 +0.23\n",
    "f = lambda x: np.exp(x)\n",
    "# [f(i)/np.exp(1)+random.random()*0.1 for i in np.linspace(0, 0.9, 60)]\n",
    "[f(i)/np.exp(1) for i in np.linspace(0, 0.9, 60)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.39629135910509034\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "c = np.arange(60)\n",
    "a = [f(i)/np.exp(1)+random.random()*0.1 for i in np.linspace(0, 0.9, 60)]\n",
    "b = [f(i)/np.exp(1)+0.05 for i in np.linspace(0, 0.91, 60)]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.38969170624890925"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7,7))\n",
    "ax.plot(c, b, c='r')\n",
    "ax.scatter(c, a, c= '#007fd4')\n",
    "ax.set_xlabel('Region')\n",
    "ax.set_ylabel('Composite score')\n",
    "# 设置标题\n",
    "ax.set_title('Forest composite score')\n",
    "ax.grid(True)\n",
    "print(np.min(a))"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "a17d8fbc39f154724391315e19256412600de31bba27aef41cfe960effe5852b"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
